Points A, B, and Care collinear, Point B is between A and C. Solve for x,
Find x if AB = x +3, AC = 11, and BC = x.

Explanation:

Saying "Points A,B, and C are collinear" means the three points all fall on the same line. For the sake of simplicity, assume the line is horizontal.

Since B is between A and C, we know that the order of the points from left to right is A, B, C.

Through the segment addition postulate, we say,

AB+BC = AC

(x+3) + (x) = 11

x+3+x = 11

2x+3 = 11

2x = 11-3

2x = 8

x = 8/2

x = 4

Extra info:

Using x = 4, we see that

AB = x+3

AB = 4+3

AB = 7

Note how this adds to BC = x = 4, getting us,

AB+BC = 7+4 = 11

which is the length of segment AC. This confirms AB+BC = AC is true and confirms our answer.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the olimpics is not going to wokk out

step-by-step explanation: